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Finding the Fourth Proportional to 1,459.81, 2,014.65 and 1,261.18

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Solution

The fourth proportional to 1,459.81, 2,014.65 and 1,261.18 is: 1,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.81 : 2,014.65 = 1,261.18 : x
  2. Step 2: Convert to fraction form
    1,459.81/2,014.65 = 1,261.18/x
  3. Step 3: Cross multiply
    1,459.81x = 2,014.65 × 1,261.18
  4. Step 4: Simplify right side
    1,459.81x = 2,540,836.29
  5. Step 5: Solve for x
    x = 2,540,836.29/1,459.81
  6. Step 6: Final answer
    x = 1,740.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.